Computation of eigenfrequency sensitivities using Riesz projections for efficient optimization of nanophotonic resonators

Resonances are ubiquitous in physics and hold important functionalities in engineering wave propagation and interference effects. This work proposes an approach for computing sensitivities, i.e., partial derivatives, of complex eigenfrequencies in any resonance problem, which here is applied to effi...

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Main Authors: Felix Binkowski, Fridtjof Betz, Martin Hammerschmidt, Philipp-Immanuel Schneider, Lin Zschiedrich, Sven Burger
Format: Article
Language:English
Published: Nature Portfolio 2022-08-01
Series:Communications Physics
Online Access:https://doi.org/10.1038/s42005-022-00977-1
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author Felix Binkowski
Fridtjof Betz
Martin Hammerschmidt
Philipp-Immanuel Schneider
Lin Zschiedrich
Sven Burger
author_facet Felix Binkowski
Fridtjof Betz
Martin Hammerschmidt
Philipp-Immanuel Schneider
Lin Zschiedrich
Sven Burger
author_sort Felix Binkowski
collection DOAJ
description Resonances are ubiquitous in physics and hold important functionalities in engineering wave propagation and interference effects. This work proposes an approach for computing sensitivities, i.e., partial derivatives, of complex eigenfrequencies in any resonance problem, which here is applied to efficiently optimize nanophotonic resonators and to obtain an improved quality factor.
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spelling doaj.art-1d9e63b757c54c3e9b338b7fb3d0ed672022-12-22T03:44:13ZengNature PortfolioCommunications Physics2399-36502022-08-01511710.1038/s42005-022-00977-1Computation of eigenfrequency sensitivities using Riesz projections for efficient optimization of nanophotonic resonatorsFelix Binkowski0Fridtjof Betz1Martin Hammerschmidt2Philipp-Immanuel Schneider3Lin Zschiedrich4Sven Burger5Zuse Institute BerlinZuse Institute BerlinJCMwave GmbHJCMwave GmbHJCMwave GmbHZuse Institute BerlinResonances are ubiquitous in physics and hold important functionalities in engineering wave propagation and interference effects. This work proposes an approach for computing sensitivities, i.e., partial derivatives, of complex eigenfrequencies in any resonance problem, which here is applied to efficiently optimize nanophotonic resonators and to obtain an improved quality factor.https://doi.org/10.1038/s42005-022-00977-1
spellingShingle Felix Binkowski
Fridtjof Betz
Martin Hammerschmidt
Philipp-Immanuel Schneider
Lin Zschiedrich
Sven Burger
Computation of eigenfrequency sensitivities using Riesz projections for efficient optimization of nanophotonic resonators
Communications Physics
title Computation of eigenfrequency sensitivities using Riesz projections for efficient optimization of nanophotonic resonators
title_full Computation of eigenfrequency sensitivities using Riesz projections for efficient optimization of nanophotonic resonators
title_fullStr Computation of eigenfrequency sensitivities using Riesz projections for efficient optimization of nanophotonic resonators
title_full_unstemmed Computation of eigenfrequency sensitivities using Riesz projections for efficient optimization of nanophotonic resonators
title_short Computation of eigenfrequency sensitivities using Riesz projections for efficient optimization of nanophotonic resonators
title_sort computation of eigenfrequency sensitivities using riesz projections for efficient optimization of nanophotonic resonators
url https://doi.org/10.1038/s42005-022-00977-1
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